The Alamo(1960) [Parson]: Reportedly fatally injured; he dies shortly afterwards while talking to John Wayne. (His death scene is only present in the full-length director's version, and not in the shorter edit.) (Thanks to Michael)

One-Eyed Jacks (1961) [Doc]: Shot in the back by deputies while trying to run away in a saloon/cathouse.

Night Gallery: Hell's Bells(1971) [The Bore]: Appears in the afterlife to torment John Astin with his dull conversation; it's unclear whether Hank is supposed to be the spirit of a human being or a demonic entity.